io£ METHODVS CFRFARVM 



fubftituatur hic vnlor ipfius x ex altera formula 



erit k V[i ~ xx) zzvi i ~kk)-j-kV( i - kk){ i -Jj)l~j, idcoqns 



Vii-xx)~V{i-kk){i-jj)-kj 

 fimilique modo erit: 



y( I -jj) — - ■/( I - kk){ r - XX) -f k X. 

 51, Iniieiitis ergo valoribu^, tam pro jc, quam 

 pro y(i -.va:\ mukipiicetur ille per X ec produdum ad 

 buiic adddtur , eritque 



V{i-xx)-\XvzV(i-kk}( i -jj^-kj-^-XvVii-kk^-^-UVii -jyy 

 feu V{i-xx)+Xx=z{V{i-kk)-\-Kk)V(i~jf)-^jiXV{ i-kk)-k) 



Qiio igitur hi faclores fimiles reddantur , necefle eft, vc 

 fit X—V- I, eritque : 



V(i-xx)-]-xV-rz{V{i~kk)-\-kV-i){V(^j-jj)+yV-i). 



52. Hanc ergo fbrmulam loco fuperioris adhi- 

 bendo , (latim patet , vt fit II. X— 2II. ^^ obj — k^ 

 effe oportere 



V{i-xx)-hxV-i-=:(V(i-kk) + kV-i)^ 

 Ac fi hic valor pro x inuentus loco j fubftituatur , 

 vt fit 



U.j~2U.ky prodibit : 



V^i-xx^-^-xV-i-^V^i-kk^-^-kV-iy pro n.xz2U.k 



vnde in geuere colligiturj vt fit U. xzznn.kj debere 

 effe: 



V(^i-xx)-{-xV'-i—{V{i-kk)~{-kV-i)\ 



53. Quia porro V~i ob fuam naturam tam ne- 

 g'^tiue, quam affirmatiue accipere licet , erit quoque pro 

 eadein arcus multiplicatione: n.x — «11.^ 



V^i-xx^-xV-i—iV^i -kk)-^kV-if 



ideo- 



